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Your search keyword '"Habermann, Jens"' showing total 4 results
Start Over Author "Habermann, Jens" Topic obstacle problems
4 results on '"Habermann, Jens"'

2. Calderón–Zygmund type estimates for a class of obstacle problems with growth

Author

Eleuteri, Michela and Habermann, Jens

Subjects
*CALDERON-Zygmund operator, *ESTIMATION theory, *SET theory, *CONVEX domains, *INTEGRAL functions, *CONTINUATION methods
Abstract

Abstract: For local minimizers of quasiconvex integral functionals of the type with growth in the class , where is a given obstacle function, we show estimates of Calderón–Zygmund type, i.e. for any , provided that the modulus of continuity ω of the exponent function p satisfies the condition [Copyright &y& Elsevier]

Published
2010
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3. Regularity results for a class of obstacle problems under nonstandard growth conditions

Author

Eleuteri, Michela and Habermann, Jens

Subjects
*FUNCTIONAL analysis, *CALCULUS of variations, *FUNCTION spaces, *MATHEMATICAL functions
Abstract

Abstract: We prove regularity results for minimizers of functionals in the class , where is a fixed function and f is quasiconvex and fulfills a growth condition of the type with growth exponent . [Copyright &y& Elsevier]

Published
2008
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4. Calderón–Zygmund type estimates for a class of obstacle problems with p(x) growth

Author

Eleuteri, Michela and Habermann, Jens

Subjects
Regularity, Obstacle problems, Nonstandard growth
Abstract

For local minimizers u∈Wloc1,p(⋅)(Ω) of quasiconvex integral functionals of the typeF[u]:=∫Ωf(x,Du(x))dx with p(x) growth in the class K:={u∈Wloc1,p(⋅)(Ω):u⩾ψ}, where ψ∈Wloc1,p(⋅)(Ω) is a given obstacle function, we show estimates of Calderón–Zygmund type, i.e.|Dψ|p(⋅)∈Llocq⇒|Du|p(⋅)∈Llocq, for any q>1, provided that the modulus of continuity ω of the exponent function p satisfies the conditionω(ρ)log1ρ→0as ρ→0.

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